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Fig. 14.2 Floating FDNR
employing two DVCCs
proposed by Sedef and
Acar [ 8 ]
z 2
y 2
I 1
V 1
y 1
DVCC
z 1
x
Z 1
Z 3
y 2
z 2
y 1
DVCC
z 1
V 2
x
I 2
Z 2
components by formulating a generalized four-node structure (including one node as
a ground) in which a CCIII was embedded with its three terminals terminated into
the remaining three nodes of the structure. This generalized configuration gave birth
to a number of special cases out of which here we have included four specific circuits
which have the desirable feature of employing a grounded capacitor and the use of a
minimum of only two resistors. These circuits are shown in Fig. 14.3 . The circuits of
Fig. 14.3a and b use non-inverting CCIII while the circuits of Fig. 14.3c and d
employ inverting CCIII. Assuming ideal CCIII
, an analysis of these circuits gives:
1
R 1 þ
1
R 2 þ
1
sC 0 R 1 R 2 ¼
Y ina ¼
Y inc
ð 14 : 2 Þ
and
Z inb ¼
R 1 þ
R 2 þ
sC 0 R 1 R 2 ¼
Z ind
ð 14 : 3 Þ
From the above expressions, it is clear that the circuits of Fig. 14.3a and c simulate a
parallel R-L immittance while Fig. 14.3b and d simulate a series R-L immittance
without the requirements of any component-matching or cancellation condition.
Furthermore, the application of the RC: CR transformation on these four circuits
would yield circuits capable of simulating parallel C-D and series C-D immittances
respectively.
For verifying the workability of the circuits, a CMOS CCIII proposed by
Piovaccari [ 55 ] with level 28 MOS model parameters provided by TSMC 0.6
μ
m
CMOS technology were employed. The biasing supply was
2.5 V and the circuits
were used to realize simple filters whose SPICE simulation results were found to be
in good agreement with theory.
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